Mathematical model description - IMACLIM

Model Documentation - IMACLIM
Model scope and methods - IMACLIM Model concept, solver and details - IMACLIM Temporal dimension - IMACLIM Spatial dimension - IMACLIM Policy - IMACLIM Socio-economic drivers - IMACLIM Population - IMACLIM Economic activity - IMACLIM Macro-economy - IMACLIM Production system and representation of economic sectors - IMACLIM Capital and labour markets - IMACLIM Monetary instruments - IMACLIM Trade - IMACLIM Technological change - IMACLIM Energy - IMACLIM Energy resource endowments - IMACLIM Fossil energy resources - IMACLIM Energy conversion - IMACLIM Electricity - IMACLIM Liquid fuels - IMACLIM Energy end-use - IMACLIM Transport - IMACLIM Residential and commercial sectors - IMACLIM Industrial sector - IMACLIM Other end-use - IMACLIM Energy demand - IMACLIM Technological change in energy - IMACLIM Land-use - IMACLIM Emissions - IMACLIM GHGs - IMACLIM Pollutants and non-GHG forcing agents - IMACLIM Climate - IMACLIM Modelling of climate indicators - IMACLIM Appendices - IMACLIM Mathematical model description - IMACLIM
Corresponding documentation
AIM-Hub BLUES C3IAM COFFEE-TEA DNE21+ GCAM GEM-E3 GRACE IMACLIM PROMETHEUS REMIND-MAgPIE WITCH
Previous versions
Archive of IMACLIM version R1.0
Model information
Model link	http://dina.centre-cired.fr/IMACLIM/Description-des-modeles-IMACLIM/?lang=en https://github.com/GaelleLeTreut/IMACLIM-Country/tree/V1.1 https://hal.archives-ouvertes.fr/hal-02949396/document
Institution	Centre international de recherche sur l'environnement et le développement (CIRED), France, http://www.centre-cired.fr., Societe de Mathematiques Appliquees et de Sciences Humaines (SMASH), France, http://www.smash.fr.
Solution concept	General equilibrium (closed economy)
Solution method	SimulationImaclim-R is implemented in Scilab, and uses the fonction fsolve from a shared C++ library to solve the static equilibrium system of non-linear equations.
Anticipation	Recursive dynamics: each year the equilibrium is solved (system of non-linear equations), in between two years parameters to the equilibrium evolve according to specified functions.

Equations of the static equilibria

The calculation of the equilibria determines the following variables at each date t : relative prices, wages, labour, quantities of goods and services including energy, value flows, physical flows, capacity utilization.

Equations of the static equilibrium
Bold=variable
k index represents regions, i and j indexes represents sectors.

t refers to the date of the equilibrium, (t-1) to the previous equilibrium.